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9:26 AM Tue Dec 12 < Template_Lab 6 Report_F-2023 45% Home Insert Draw Layout Review View Times New Roman 11 References I U A | B A | E- aAv Your Name: Lab Section: Lab date: General Physics - Lab 6 Report - Standing Waves on a Vibrating String 1. Objective. (3 points) The primary objective of this laboratory investigation is to explore the fundamental principles governing standing waves on a vibrating string and to comprehend the interrelationships among velocity, frequency, wavelength, and tension within the context of transverse waves. Through the systematic execution of experiments involving a vibrating string under controlled parameters, the aim is to ascertain the constancy of wave velocity while maintaining a consistent tension in the string. Additionally, the laboratory seeks to delve into the phenomenon of standing waves, with a specific focus on resonance conditions and harmonics. Through hands-on experimentation, practical measurements, and subsequent data analysis, students are expected to acquire a practical understanding of wave behavior and a nuanced grasp of the factors influencing wave propagation in mechanical systems. 2. Result and Analysis (7 points) . List your data in a table with the variables. You can use the Excel to create this and include in the report. Wavelength (m) Frequency (Hz) Velocity (m/s) Antinodes Trial Nodes Period (s) 1 2.28 11.5 26.22 1 2 0.086956 2 1.14 23.3 26.56 2 3 0.042918 3 0.76 34.9 26.52 3 4 0.028653 4 0.57 45.6 25.99 4 5 0.02192 5 0.45 57.2 25.74 5 6 0.01748 6 0.38 68.9 26.08 6 7 0.01451 LENGTH: 1.14 m 1 Create a graph of wavelength (y-axis) vs =(x-axis). Do a linear fit and determine frequency the slope of the graph. 1 : 9:26 AM Tue Dec 12 Template_Lab 6 Report_F-2023 Wavelength (m) 2.5 1.5 0.5 1 2 45% Home Insert Draw Layout Review View References Times New Roman 11 I U aAA | E General Physics - Lab 6 Report - Standing Waves on a Vibrating String 2 Wavelength vs Period (Velocity m/s) y = 26.294x-0.001 R = 0.9999 0 0 0.02 0.04 0.06 Period (s 0.08 0.1 Wavelength (m) Linear (Wavelength (m)) Slope 26.294 (which gives velocity (m/s)) Include this graph in the report. 3. Discussion (7 points) Does the velocity of the wave remain a constant or does it vary? Please explain. What can you infer from Graph 1? List the possible reasons for errors in the measured quantities. 4. Conclusion (3 points) 5. Submission of the lab report during the lab time (5 points) || : 9:26 AM Tue Dec 12 < Template_Lab 6 Report_F-2023 45% Home Insert Draw Layout Review View Times New Roman 11 References I U A | B A | E- aAv Your Name: Lab Section: Lab date: General Physics - Lab 6 Report - Standing Waves on a Vibrating String 1. Objective. (3 points) The primary objective of this laboratory investigation is to explore the fundamental principles governing standing waves on a vibrating string and to comprehend the interrelationships among velocity, frequency, wavelength, and tension within the context of transverse waves. Through the systematic execution of experiments involving a vibrating string under controlled parameters, the aim is to ascertain the constancy of wave velocity while maintaining a consistent tension in the string. Additionally, the laboratory seeks to delve into the phenomenon of standing waves, with a specific focus on resonance conditions and harmonics. Through hands-on experimentation, practical measurements, and subsequent data analysis, students are expected to acquire a practical understanding of wave behavior and a nuanced grasp of the factors influencing wave propagation in mechanical systems. 2. Result and Analysis (7 points) . List your data in a table with the variables. You can use the Excel to create this and include in the report. Wavelength (m) Frequency (Hz) Velocity (m/s) Antinodes Trial Nodes Period (s) 1 2.28 11.5 26.22 1 2 0.086956 2 1.14 23.3 26.56 2 3 0.042918 3 0.76 34.9 26.52 3 4 0.028653 4 0.57 45.6 25.99 4 5 0.02192 5 0.45 57.2 25.74 5 6 0.01748 6 0.38 68.9 26.08 6 7 0.01451 LENGTH: 1.14 m 1 Create a graph of wavelength (y-axis) vs =(x-axis). Do a linear fit and determine frequency the slope of the graph. 1 : 9:26 AM Tue Dec 12 Template_Lab 6 Report_F-2023 Wavelength (m) 2.5 1.5 0.5 1 2 45% Home Insert Draw Layout Review View References Times New Roman 11 I U aAA | E General Physics - Lab 6 Report - Standing Waves on a Vibrating String 2 Wavelength vs Period (Velocity m/s) y = 26.294x-0.001 R = 0.9999 0 0 0.02 0.04 0.06 Period (s 0.08 0.1 Wavelength (m) Linear (Wavelength (m)) Slope 26.294 (which gives velocity (m/s)) Include this graph in the report. 3. Discussion (7 points) Does the velocity of the wave remain a constant or does it vary? Please explain. What can you infer from Graph 1? List the possible reasons for errors in the measured quantities. 4. Conclusion (3 points) 5. Submission of the lab report during the lab time (5 points) || :